Compact symplectic four-dimensional manifolds not admitting polarizations
Fernández, Marisa ; de León, Manuel
Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989), p. 789-793 / Harvested from Czech Digital Mathematics Library
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Publié le : 1989-01-01
Classification:  37J99,  53C15,  53C55,  58F05,  58F06,  81D07 
@article{106803,
     author = {Marisa Fern\'andez and Manuel de Le\'on},
     title = {Compact symplectic four-dimensional manifolds not admitting polarizations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {030},
     year = {1989},
     pages = {789-793},
     zbl = {0695.53030},
     mrnumber = {1045911},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106803}
}

Fernández, Marisa; de León, Manuel. Compact symplectic four-dimensional manifolds not admitting polarizations. Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989) pp. 789-793. http://gdmltest.u-ga.fr/item/106803/

Woodhouse N. M. J. Geometric Quantization, Clarendon, Oxford, 1980. (1980) | MR 0605306 | Zbl 0458.58003

Weinatein A. Lectures on Symplectic Manifolds, CBMS Reg. Conf. Ser. Math. 29 (Amer. Math. Soc., Providence, R.I., 1977). (1977) | MR 0464312

Vaisman I. The Bott obstruction io the existence of nice polarizations, Mh. Math. 92 (1981), 231-238. (1981) | MR 0638166

Fernández M.; Gotay M. J.; Gray A. Compact parallelizable four dimensional symplectic and complex manifolds, Proc. Amer. Math. Soc. 103 (1988), 1209-1212. (1988) | MR 0955011

Gotay M. J. A class of non-polarizable symplectic manifolds, Monatshefte für Math. 103 (1987), 27-30. (1987) | MR 0875349 | Zbl 0608.53032

Cordero L. A.; Fernandez M.; De Léon M.; Saralegui M. Compact symplectic four solvmanifolds without polarizations, Annales de la Faculte des Sciences de Toulouse (1989) (to appear). (1989) | MR 1425485

Kobayashi S. Principal fibre bundles with the 1 -dimensional toroidal group, Tôhoku Math. J. (2) 8 (1956), 29-45. (1956) | MR 0080919 | Zbl 0075.32103

Kobayashi S. Topology of positively pinched Kähler manifolds, Tôhoku Math. J. (2) 15 (1963), 121-139. (1963) | MR 0154235 | Zbl 0114.37601

Bouyakoub A. Sur une classe de vatiétés symplectiques et presque complexes, Thése, Univ. du Haute Alsace, Mulhouse, 1987. (1987)

Mcduff D. Examples of simply connected symplectic nonKählerian manifolds, J. Diff. Geom. 20 (1984), 267-277. (1984) | MR 0772133